Title
Noisy-OR Models with Latent Confounding
Abstract
Given a set of experiments in which varying subsets of observed variables are subject to intervention, we consider the problem of identifiability of causal models exhibiting latent confounding. While identifiability is trivial when each experiment intervenes on a large number of variables, the situation is more complicated when only one or a few variables are subject to intervention per experiment. For linear causal models with latent variables Hyttinen et al. (2010) gave precise conditions for when such data are sufficient to identify the full model. While their result cannot be extended to discrete-valued variables with arbitrary cause-effect relationships, we show that a similar result can be obtained for the class of causal models whose conditional probability distributions are restricted to a `noisy-OR' parameterization. We further show that identification is preserved under an extension of the model that allows for negative influences, and present learning algorithms that we test for accuracy, scalability and robustness.
Year
Venue
DocType
2011
uncertainty in artificial intelligence
Conference
Volume
Citations 
PageRank 
abs/1202.3735
5
0.54
References 
Authors
4
3
Name
Order
Citations
PageRank
Antti Hyttinen19712.55
Frederick Eberhardt215717.31
patrik o hoyer32040173.13